Details

analyze366.0ms (12.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify225.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4802	13
1	4802	13

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 31 to 30 computations (3.2% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
0.3b	(*.f64 (/.f64 4 y) (-.f64 x z))

rewrite24.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_7512`
13×	`associate-l_binary64_7434`
12×	`*-un-lft-identity_binary64_7491`
10×	`add-cube-cbrt_binary64_7523` `times-frac_binary64_7497`
7×	`add-exp-log_binary64_7526` `add-cbrt-cube_binary64_7524`
5×	`associate-r_binary64_7433`
4×	`add-log-exp_binary64_7527` `sub-neg_binary64_7484` `pow1_binary64_7549`
2×	`associate-+l+_binary64_7426` `distribute-rgt-in_binary64_7443` `unswap-sqr_binary64_7459` `flip--_binary64_7466` `cbrt-unprod_binary64_7521` `prod-exp_binary64_7537` `distribute-lft-in_binary64_7442` `frac-times_binary64_7501` `flip3--_binary64_7495` `associate-*r/_binary64_7435`
1×	`div-exp_binary64_7539` `distribute-lft-out--_binary64_7445` `pow-prod-down_binary64_7559` `associate-l/_binary64_7436` `flip-+_binary64_7465` `+-commutative_binary64_7423` `-commutative_binary64_7424` `cbrt-undiv_binary64_7522` `difference-of-squares_binary64_7460` `sum-log_binary64_7579` `div-inv_binary64_7488` `flip3-+_binary64_7494`

Counts

2 → 53

Calls

2 calls:

10.0ms	(*.f64 (/.f64 4 y) (-.f64 x z))
10.0ms	(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)

series122.0ms (4.1%)

Counts

2 → 6

Calls

2 calls:

80.0ms	(*.f64 (/.f64 4 y) (-.f64 x z))
42.0ms	(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)

simplify64.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5031	837

prune51.0ms (1.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	58	3	61

Merged error: 0.0b

Counts

61 → 3

Compiler

Compiled 905 to 547 computations (39.6% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (/.f64 4 y) x) (.f64 z (/.f64 -4 y)))
0.0b	(+.f64 (+.f64 (.f64 (/.f64 4 y) x) (.f64 z (/.f64 -4 y))) 2)
0.2b	(*.f64 (/.f64 4 y) x)
0.2b	(*.f64 z (/.f64 -4 y))

rewrite38.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_7512`
22×	`*-un-lft-identity_binary64_7491`
20×	`add-cube-cbrt_binary64_7523` `times-frac_binary64_7497`
16×	`associate-r_binary64_7433` `associate-l_binary64_7434`
14×	`add-exp-log_binary64_7526` `add-cbrt-cube_binary64_7524`
11×	`add-log-exp_binary64_7527`
8×	`pow1_binary64_7549`
4×	`unswap-sqr_binary64_7459` `cbrt-unprod_binary64_7521` `prod-exp_binary64_7537` `sum-log_binary64_7579`
2×	`div-exp_binary64_7539` `pow-prod-down_binary64_7559` `associate-l/_binary64_7436` `flip-+_binary64_7465` `associate-r/_binary64_7435` `+-commutative_binary64_7423` `*-commutative_binary64_7424` `cbrt-undiv_binary64_7522` `div-inv_binary64_7488` `flip3-+_binary64_7494`
1×	`associate-+l+_binary64_7426` `frac-add_binary64_7499` `distribute-lft-out_binary64_7444`

Counts

4 → 90

Calls

4 calls:

10.0ms	(+.f64 (+.f64 (.f64 (/.f64 4 y) x) (.f64 z (/.f64 -4 y))) 2)
7.0ms	(*.f64 z (/.f64 -4 y))
7.0ms	(+.f64 (.f64 (/.f64 4 y) x) (.f64 z (/.f64 -4 y)))
7.0ms	(*.f64 (/.f64 4 y) x)

series177.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(+.f64 (.f64 (/.f64 4 y) x) (.f64 z (/.f64 -4 y)))
39.0ms	(+.f64 (+.f64 (.f64 (/.f64 4 y) x) (.f64 z (/.f64 -4 y))) 2)
28.0ms	(*.f64 (/.f64 4 y) x)
24.0ms	(*.f64 z (/.f64 -4 y))

simplify53.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4947	1310
1	4947	1310

prune97.0ms (3.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	103	2	105

Merged error: 0.0b

Counts

105 → 2

Compiler

Compiled 1835 to 1162 computations (36.7% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 x y) (/.f64 z y))
0.0b	(+.f64 2 (*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y))))
0.0b	(*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y)))

rewrite45.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_7512`
25×	`*-un-lft-identity_binary64_7491`
20×	`times-frac_binary64_7497`
12×	`associate-r_binary64_7433`
9×	`add-cube-cbrt_binary64_7523`
8×	`distribute-lft-out--_binary64_7445` `difference-of-squares_binary64_7460`
7×	`add-log-exp_binary64_7527`
5×	`sub-neg_binary64_7484` `add-exp-log_binary64_7526` `add-cbrt-cube_binary64_7524` `pow1_binary64_7549`
4×	`associate-*r/_binary64_7435` `div-inv_binary64_7488`
3×	`associate-l_binary64_7434`
2×	`associate-+r+_binary64_7425` `distribute-rgt-in_binary64_7443` `flip--_binary64_7466` `sub-div_binary64_7498` `distribute-rgt-out--_binary64_7447` `distribute-lft-in_binary64_7442` `flip3--_binary64_7495` `frac-sub_binary64_7500`
1×	`diff-log_binary64_7580` `unswap-sqr_binary64_7459` `cbrt-unprod_binary64_7521` `prod-exp_binary64_7537` `pow-prod-down_binary64_7559` `flip-+_binary64_7465` `+-commutative_binary64_7423` `*-commutative_binary64_7424` `sum-log_binary64_7579` `flip3-+_binary64_7494`

Counts

3 → 68

Calls

3 calls:

20.0ms	(*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y)))
15.0ms	(-.f64 (/.f64 x y) (/.f64 z y))
5.0ms	(+.f64 2 (*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y))))

series163.0ms (5.4%)

Counts

3 → 9

Calls

3 calls:

73.0ms	(*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y)))
48.0ms	(+.f64 2 (*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y))))
43.0ms	(-.f64 (/.f64 x y) (/.f64 z y))

simplify42.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5083	1156

prune57.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	77	2	79

Merged error: 0.0b

Counts

79 → 2

Compiler

Compiled 1279 to 573 computations (55.2% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
0.1b	(exp.f64 (+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2))
0.3b	(log.f64 (exp.f64 (+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)))
0.3b	(*.f64 (/.f64 4 y) (-.f64 x z))

rewrite48.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_7512`
17×	`*-un-lft-identity_binary64_7491`
15×	`add-cube-cbrt_binary64_7523`
13×	`associate-l_binary64_7434`
10×	`times-frac_binary64_7497`
9×	`add-log-exp_binary64_7527` `add-exp-log_binary64_7526` `add-cbrt-cube_binary64_7524`
7×	`pow1_binary64_7549`
6×	`exp-prod_binary64_7540`
5×	`associate-r_binary64_7433`
4×	`sub-neg_binary64_7484` `log-prod_binary64_7574` `log-pow_binary64_7577`
2×	`associate-+l+_binary64_7426` `distribute-rgt-in_binary64_7443` `rem-exp-log_binary64_7528` `unswap-sqr_binary64_7459` `flip--_binary64_7466` `exp-sum_binary64_7534` `cbrt-unprod_binary64_7521` `prod-exp_binary64_7537` `distribute-lft-in_binary64_7442` `frac-times_binary64_7501` `flip3--_binary64_7495` `associate-*r/_binary64_7435` `sum-log_binary64_7579`
1×	`rem-log-exp_binary64_7529` `div-exp_binary64_7539` `distribute-lft-out--_binary64_7445` `pow-prod-down_binary64_7559` `associate-l/_binary64_7436` `flip-+_binary64_7465` `+-commutative_binary64_7423` `-commutative_binary64_7424` `cbrt-undiv_binary64_7522` `difference-of-squares_binary64_7460` `div-inv_binary64_7488` `flip3-+_binary64_7494`

Counts

4 → 82

Calls

4 calls:

10.0ms	(exp.f64 (+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2))
10.0ms	(*.f64 (/.f64 4 y) (-.f64 x z))
9.0ms	(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
9.0ms	(log.f64 (exp.f64 (+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)))

series344.0ms (11.4%)

Counts

4 → 12

Calls

4 calls:

124.0ms	(exp.f64 (+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2))
108.0ms	(log.f64 (exp.f64 (+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)))
74.0ms	(*.f64 (/.f64 4 y) (-.f64 x z))
38.0ms	(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)

simplify104.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4889	1382
1	4889	1382

prune85.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	94	2	96

Merged error: 0.0b

Counts

96 → 2

Compiler

Compiled 1526 to 990 computations (35.1% saved)

regimes108.0ms (3.6%)

Compiler: Compiled 580 to 588 computations (-1.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	16
1	30	16

end0.0ms (0%)

sample728.0ms (24.2%)

Algorithm

1×

intervals

Results

311.0ms	8000×	body	128	valid
38.0ms	934×	body	128	invalid

Compiler

Compiled 115 to 116 computations (-0.9% saved)

Details

analyze366.0ms (12.2%)

sample19.0ms (0.6%)

simplify225.0ms (7.5%)

prune4.0ms (0.1%)

localize10.0ms (0.3%)

rewrite24.0ms (0.8%)

series122.0ms (4.1%)

simplify64.0ms (2.1%)

prune51.0ms (1.7%)

localize12.0ms (0.4%)

rewrite38.0ms (1.3%)

series177.0ms (5.9%)

simplify53.0ms (1.8%)

prune97.0ms (3.2%)

localize8.0ms (0.3%)

rewrite45.0ms (1.5%)

series163.0ms (5.4%)

simplify42.0ms (1.4%)

prune57.0ms (1.9%)

localize9.0ms (0.3%)

rewrite48.0ms (1.6%)

series344.0ms (11.4%)

simplify104.0ms (3.5%)

prune85.0ms (2.8%)

regimes108.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample728.0ms (24.2%)

Profiling